(x-4y)(x-4y)(x-4y)(x-4y)=0

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Solution for (x-4y)(x-4y)(x-4y)(x-4y)=0 equation: 


Simplifying
(x + -4y)(x + -4y)(x + -4y)(x + -4y) = 0

Multiply (x + -4y) * (x + -4y)
(x(x + -4y) + -4y * (x + -4y))(x + -4y)(x + -4y) = 0
((x * x + -4y * x) + -4y * (x + -4y))(x + -4y)(x + -4y) = 0

Reorder the terms:
((-4xy + x2) + -4y * (x + -4y))(x + -4y)(x + -4y) = 0
((-4xy + x2) + -4y * (x + -4y))(x + -4y)(x + -4y) = 0
(-4xy + x2 + (x * -4y + -4y * -4y))(x + -4y)(x + -4y) = 0
(-4xy + x2 + (-4xy + 16y2))(x + -4y)(x + -4y) = 0

Reorder the terms:
(-4xy + -4xy + x2 + 16y2)(x + -4y)(x + -4y) = 0

Combine like terms: -4xy + -4xy = -8xy
(-8xy + x2 + 16y2)(x + -4y)(x + -4y) = 0

Multiply (-8xy + x2 + 16y2) * (x + -4y)
(-8xy * (x + -4y) + x2(x + -4y) + 16y2 * (x + -4y))(x + -4y) = 0
((x * -8xy + -4y * -8xy) + x2(x + -4y) + 16y2 * (x + -4y))(x + -4y) = 0

Reorder the terms:
((32xy2 + -8x2y) + x2(x + -4y) + 16y2 * (x + -4y))(x + -4y) = 0
((32xy2 + -8x2y) + x2(x + -4y) + 16y2 * (x + -4y))(x + -4y) = 0
(32xy2 + -8x2y + (x * x2 + -4y * x2) + 16y2 * (x + -4y))(x + -4y) = 0

Reorder the terms:
(32xy2 + -8x2y + (-4x2y + x3) + 16y2 * (x + -4y))(x + -4y) = 0
(32xy2 + -8x2y + (-4x2y + x3) + 16y2 * (x + -4y))(x + -4y) = 0
(32xy2 + -8x2y + -4x2y + x3 + (x * 16y2 + -4y * 16y2))(x + -4y) = 0
(32xy2 + -8x2y + -4x2y + x3 + (16xy2 + -64y3))(x + -4y) = 0

Reorder the terms:
(32xy2 + 16xy2 + -8x2y + -4x2y + x3 + -64y3)(x + -4y) = 0

Combine like terms: 32xy2 + 16xy2 = 48xy2
(48xy2 + -8x2y + -4x2y + x3 + -64y3)(x + -4y) = 0

Combine like terms: -8x2y + -4x2y = -12x2y
(48xy2 + -12x2y + x3 + -64y3)(x + -4y) = 0

Multiply (48xy2 + -12x2y + x3 + -64y3) * (x + -4y)
(48xy2 * (x + -4y) + -12x2y * (x + -4y) + x3(x + -4y) + -64y3 * (x + -4y)) = 0
((x * 48xy2 + -4y * 48xy2) + -12x2y * (x + -4y) + x3(x + -4y) + -64y3 * (x + -4y)) = 0

Reorder the terms:
((-192xy3 + 48x2y2) + -12x2y * (x + -4y) + x3(x + -4y) + -64y3 * (x + -4y)) = 0
((-192xy3 + 48x2y2) + -12x2y * (x + -4y) + x3(x + -4y) + -64y3 * (x + -4y)) = 0
(-192xy3 + 48x2y2 + (x * -12x2y + -4y * -12x2y) + x3(x + -4y) + -64y3 * (x + -4y)) = 0

Reorder the terms:
(-192xy3 + 48x2y2 + (48x2y2 + -12x3y) + x3(x + -4y) + -64y3 * (x + -4y)) = 0
(-192xy3 + 48x2y2 + (48x2y2 + -12x3y) + x3(x + -4y) + -64y3 * (x + -4y)) = 0
(-192xy3 + 48x2y2 + 48x2y2 + -12x3y + (x * x3 + -4y * x3) + -64y3 * (x + -4y)) = 0

Reorder the terms:
(-192xy3 + 48x2y2 + 48x2y2 + -12x3y + (-4x3y + x4) + -64y3 * (x + -4y)) = 0
(-192xy3 + 48x2y2 + 48x2y2 + -12x3y + (-4x3y + x4) + -64y3 * (x + -4y)) = 0
(-192xy3 + 48x2y2 + 48x2y2 + -12x3y + -4x3y + x4 + (x * -64y3 + -4y * -64y3)) = 0
(-192xy3 + 48x2y2 + 48x2y2 + -12x3y + -4x3y + x4 + (-64xy3 + 256y4)) = 0

Reorder the terms:
(-192xy3 + -64xy3 + 48x2y2 + 48x2y2 + -12x3y + -4x3y + x4 + 256y4) = 0

Combine like terms: -192xy3 + -64xy3 = -256xy3
(-256xy3 + 48x2y2 + 48x2y2 + -12x3y + -4x3y + x4 + 256y4) = 0

Combine like terms: 48x2y2 + 48x2y2 = 96x2y2
(-256xy3 + 96x2y2 + -12x3y + -4x3y + x4 + 256y4) = 0

Combine like terms: -12x3y + -4x3y = -16x3y
(-256xy3 + 96x2y2 + -16x3y + x4 + 256y4) = 0

Solving
-256xy3 + 96x2y2 + -16x3y + x4 + 256y4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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